International Journal of Mathematics and Mathematical Sciences
Volume 7 (1984), Issue 3, Pages 619-620
doi:10.1155/S0161171284000661

Another note on almost continuous mappings and Baire spaces

Abstract

The following result is proved:Let Y be a second countable, infinite topological space with an ascending chain of regular open sets. Then a topological space X is a Baire space if and only if every mapping f:X→Y is almost continuous on a dense subset of X.It is another improvement of a theorem of Lin and Lin [2].